Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4 + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.
Answer:
1
Step-by-step explanation:
To solve quadratics, the most correct and effective way, in my opinion, is the quadratic formula:
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Plugging it in, we get:
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So the final answer is:
and
Answer:
3 points
Step-by-step explanation:
in a function, an x-value must have only one y-value correlated with it.
So, you would need to remove either (-3, 2) or (-3, 3)
And, you would need to remove either (2, -2) or (2, -4)
<em>And, </em>you would need to remove either (1, 4) or (1, -4)
So--you need to remove 3 points in total for this to be a function.
[a y-value can have multiple x-values. the two points at -4 are allowed, and do not need to be removed for both of them to be there]
Answer:
Step-by-step explanation:
k = xy
Putting values of x and y in the equation
k = (5)(-3.5)
= - 17.5
Finding value of x when y = 10
k = xy
- 17.5 = x10
Bringing like terms on one side
- 17.5 - 10 = x
-27.5 = x
